57255382814490 has 512 divisors, whose sum is σ = 189808253337600. Its totient is φ = 11980569047040.

The previous prime is 57255382814489. The next prime is 57255382814501. The reversal of 57255382814490 is 9441828355275.

It is a happy number.

57255382814490 is a `hidden beast` number, since 5 + 7 + 2 + 5 + 53 + 82 + 8 + 14 + 490 = 666.

It is a super-2 number, since 2×57255382814490² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5847751495 + ... + 5847761285.

It is an arithmetic number, because the mean of its divisors is an integer number (370719244800).

Almost surely, 2^{57255382814490} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57255382814490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94904126668800).

57255382814490 is an abundant number, since it is smaller than the sum of its proper divisors (132552870523110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57255382814490 is a wasteful number, since it uses less digits than its factorization.

57255382814490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 57255382814490 in words is "fifty-seven trillion, two hundred fifty-five billion, three hundred eighty-two million, eight hundred fourteen thousand, four hundred ninety".